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12971766737 is a prime number
BaseRepresentation
bin11000001010010110…
…10111001111010001
31020111000200000201002
430011023113033101
5203031233013422
65543101551345
7636311124626
oct140513271721
936430600632
1012971766737
115557251386
122620275555
1312b9597c27
148b0ada34d
1550dc26692
hex3052d73d1

12971766737 has 2 divisors, whose sum is σ = 12971766738. Its totient is φ = 12971766736.

The previous prime is 12971766679. The next prime is 12971766779. The reversal of 12971766737 is 73766717921.

12971766737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7830303121 + 5141463616 = 88489^2 + 71704^2 .

It is a cyclic number.

It is not a de Polignac number, because 12971766737 - 214 = 12971750353 is a prime.

It is not a weakly prime, because it can be changed into another prime (12971763737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6485883368 + 6485883369.

It is an arithmetic number, because the mean of its divisors is an integer number (6485883369).

Almost surely, 212971766737 is an apocalyptic number.

It is an amenable number.

12971766737 is a deficient number, since it is larger than the sum of its proper divisors (1).

12971766737 is an equidigital number, since it uses as much as digits as its factorization.

12971766737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4667544, while the sum is 56.

The spelling of 12971766737 in words is "twelve billion, nine hundred seventy-one million, seven hundred sixty-six thousand, seven hundred thirty-seven".